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Question 1186635: How many ways can 6 people sit together in a row
a) If two people sit together?
b) How many ways can 6 people sit in a circle of two people sit together?

Please explain my second homework question to me. Thank you!

Click here to see answer by ikleyn(52781)

Question 1186704: you volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 19 children present in your van. How many different groups of 8 children can you drive?

Click here to see answer by greenestamps(13200)

Question 1186714: There are four visitors in a party. There are two tables with two seats each. In how many different ways can these guests sit down?
Click here to see answer by Edwin McCravy(20055)

Question 1186682: This exercise refers to a standard deck of playing cards. Assume that 8 cards are
randomly chosen from the deck.
How many hands contain exactly two 2s and two 5s?
Click here to see answer by Edwin McCravy(20055)

Question 1187133: The Rodeo Club has 5 seniors, 17 juniors, 14 sophomores, and 10 freshmen. In how many ways can 2 representatives be selected if the selection must be composed of a senior and a freshman or a junior and a sophomore?

Click here to see answer by ikleyn(52781)

Question 1187136: Out of 6 women and 8 men , a committee consisting of 4 woman and 5 men is to be formed.How many committee are possible? Provided that a woman and any other man must be in a committee
Click here to see answer by greenestamps(13200)

Question 1187146: There are 7 boys and 3 girls in gathering. In how many ways can they be arranged in a row so that the 3 girls form a single block
Click here to see answer by Alan3354(69443)

Question 1187221: If C(n,4)=C(n,10). What is the value of n?
Click here to see answer by Theo(13342)

Question 1187402: The questions are as follows:
On a shelf there are 4 different mathematics books and 8 different English books.
i) The books are to be arranged so that the mathematics books are together. In how many different ways can this be done?
Answer: 4!*9! = 8 709 120
I did not have any problem with the question and answer above, but the problem is the next one:
ii) What is the probability that none of the mathematics books are next to each other?
The working given for this question is ((8!)*(9P4))/(12!), but could anyone explain what is the logic behind this working?
Click here to see answer by ikleyn(52781)

Question 1187489: Please help with the homework:
If the length is 12cm, breadth is 4cm, and height is 3cm calculate the volume

Click here to see answer by Alan3354(69443)

Question 1187512: Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 14 of the 41 boxes on the shelf have the secret decoder ring. The other 27 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?
Click here to see answer by ikleyn(52781)

Question 1187589: In a school club, there are 5 possible choices for president, a secretary, a treasurer, and an auditor. Assuming that each of them is qualified for any of these positions, in how many ways can the officers be selected?

Click here to see answer by ikleyn(52781)

Question 1188237: An access code consists of 3 letters of the alphabet followed by 2 digits. (Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.) How many different access codes are possible?
Click here to see answer by Edwin McCravy(20055)

Question 1188357: In how many distinct ways can the letters of the world ATLANTA be arranged?

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Question 1188357: In how many distinct ways can the letters of the world ATLANTA be arranged?

Click here to see answer by MathLover1(20849)

Question 1188585: a man who works a five day week can travel to work on foot, by cycle, or bus. in how many ways can he arrange a week's traveling to work?

Click here to see answer by ikleyn(52781)

Question 1188651: in how many ways could 18 people be divided into five groups containing, respectively 2,5, 6, 1, and 4,people?
The groups can be chosen in
enter your response here ways.
Click here to see answer by greenestamps(13200)

Question 1188728: If the average American male is 5'10" and the standard deviation is 3",
then LaBron James who is 6'8" is within standard deviations of the mean?
a.1
b.2
c.3
d.4
e.5
f.6
g.7
Click here to see answer by ikleyn(52781)

Question 1188819: We have a deck of 10 cards numbered from 1 to 10. Some are grey and some are white. The cards numbered 1,7 , and 9 are grey. The cards numbered 2,3 ,4,5 , 6 ,8 , and 10 are white. A card is drawn at random. Let be the event that the drawn card is grey, and let be the probability of . Let not be the event that the drawn card is not grey, and let not be the probability of not . (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column enter the probability of the event
Click here to see answer by ikleyn(52781)

Question 1188843: How many four-digit numbers each less than 5000 can be formed
with digits 1, 2, 4, 6, 8 if no repetitions are allowed?
Click here to see answer by ikleyn(52781)

Question 1188843: How many four-digit numbers each less than 5000 can be formed
with digits 1, 2, 4, 6, 8 if no repetitions are allowed?
Click here to see answer by Edwin McCravy(20055)

Question 1188840: How many four-digit numbers each less than 5000 can be formed with digits 1, 2, 4, 6, 8 if no
repetitions are allowed?
Click here to see answer by ikleyn(52781)

Question 1188842: 7. Find the number of choices which a student has for doing 6 problems from a set of 11
problems.
8.
9.
Click here to see answer by ikleyn(52781)

Question 1188841: 7. Find the number of choices which a student has for doing 6 problems from a set of 11 problems.
8.
9.

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Question 1188893: You need to choose a password for computer account. The rule is that the
password must consist of two lowercase letter (a to z) followed by one capital letter (A to
Z) followed by four digits (0, 1, ..., 9)For example the following is a vid password:
jvR1214
Find the total number of possible passwords, N.
Click here to see answer by ikleyn(52781)

Question 1188892: A math teacher will split her class of 15 students into three groups with five
students in each group. One group will go for online class, a second group will have the
modular class and the third group will be a face to face class. In how many ways can the
teacher form the groups for online, modular and face to face class?

Click here to see answer by ikleyn(52781)

Question 1188916: How many cards must be selected from a standard deck of 52 cards to guarantee that at least 5 cards of the same suit are chosen?
Click here to see answer by greenestamps(13200)

Question 1188915: A recent survey of 10th graders asked if they were employed and whether they owned a smart phone What is the probability that a randomly selected student owns a smart phone OR is employed?

Click here to see answer by greenestamps(13200)

Question 1189014: Find the number n of distinct permutations that can be formed from all the letters of each word:
a) THEM b) UNUSUAL c) SOCIOLOGICAL

Click here to see answer by math_helper(2461)

Question 1189046: How many 5-letter code words can be formed from the letters of the word MATRICES
Click here to see answer by Alan3354(69443)

Question 1189082: Teacher plans to buy drinks for the 30 students, which the bubble tea shop got 3 choices, how many combinations are there?

Click here to see answer by ikleyn(52781)

Question 1189187: How many positive 3-digit integers have a units (ones) digit of 9?
Click here to see answer by Alan3354(69443)

Question 1189187: How many positive 3-digit integers have a units (ones) digit of 9?
Click here to see answer by ikleyn(52781)

Question 1189186: Alicia is arranging photographs of five family members in a row on her refrigerator. If she wants the photograph of her mother and the photograph of her father to be on opposite ends of the row, how many arrangements for the photograph are possible?
Click here to see answer by ikleyn(52781)

Question 1189221: A committee of six is to be chosen from the 20 members of the student council. In how many ways can this be done if:
A. There are no restrictions.
B. There are twelve junior members and 8 senior members and the committee must include 2 junior and four senior members?
C. There must be at least 2 senior members on the committee. ( I need help with this one in particular)

Click here to see answer by ikleyn(52781)

Question 1189546: How many 9-digit codes can be formed if the code starts with 000 or ends with 1?
Click here to see answer by ikleyn(52781)

Question 1189564: Find how many different groups of 2 elements, with repetition, can be formed
with the letters: a, b, c, d. I solved it like this: 5!/2!*2!=10, but im not sure
Click here to see answer by ikleyn(52781)

Question 1189548: How many numbers with 5 different digits and that are multiples of 2
can be formed with 4,5, 6, 7, 8? How many multiples of 5 could be
formed with the same numbers and without repeating them?
Click here to see answer by Edwin McCravy(20055)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035